2824132221 has 12 divisors (see below), whose sum is σ = 4092422880. Its totient is φ = 1876699080.

The previous prime is 2824132183. The next prime is 2824132237. The reversal of 2824132221 is 1222314282.

2824132221 is a `hidden beast` number, since 28 + 2 + 413 + 2 + 221 = 666.

It is not a de Polignac number, because 2824132221 - 2¹⁰ = 2824131197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824132261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501691 + ... + 507288.

It is an arithmetic number, because the mean of its divisors is an integer number (341035240).

Almost surely, 2^2824132221 is an apocalyptic number.

It is an amenable number.

2824132221 is a deficient number, since it is larger than the sum of its proper divisors (1268290659).

2824132221 is a wasteful number, since it uses less digits than its factorization.

2824132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009296 (or 1009293 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2824132221 is about 53142.5650585291. The cubic root of 2824132221 is about 1413.4973824586.

The spelling of 2824132221 in words is "two billion, eight hundred twenty-four million, one hundred thirty-two thousand, two hundred twenty-one".